Properties

Label 18.6.c.b.13.2
Level $18$
Weight $6$
Character 18.13
Analytic conductor $2.887$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 18.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.88690875663\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.47347183152.3
Defining polynomial: \( x^{6} - 3x^{5} + 118x^{4} - 231x^{3} + 3700x^{2} - 3585x + 32331 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 13.2
Root \(0.500000 - 8.40123i\) of defining polynomial
Character \(\chi\) \(=\) 18.13
Dual form 18.6.c.b.7.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.00000 - 3.46410i) q^{2} +(-2.43381 + 15.3973i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-20.8014 + 36.0292i) q^{5} +(58.2054 - 22.3636i) q^{6} +(101.661 + 176.082i) q^{7} +64.0000 q^{8} +(-231.153 - 74.9483i) q^{9} +O(q^{10})\) \(q+(-2.00000 - 3.46410i) q^{2} +(-2.43381 + 15.3973i) q^{3} +(-8.00000 + 13.8564i) q^{4} +(-20.8014 + 36.0292i) q^{5} +(58.2054 - 22.3636i) q^{6} +(101.661 + 176.082i) q^{7} +64.0000 q^{8} +(-231.153 - 74.9483i) q^{9} +166.412 q^{10} +(-235.168 - 407.323i) q^{11} +(-193.881 - 156.902i) q^{12} +(-241.506 + 418.300i) q^{13} +(406.643 - 704.326i) q^{14} +(-504.125 - 407.974i) q^{15} +(-128.000 - 221.703i) q^{16} +1259.86 q^{17} +(202.678 + 950.634i) q^{18} +1978.94 q^{19} +(-332.823 - 576.466i) q^{20} +(-2958.60 + 1136.75i) q^{21} +(-940.672 + 1629.29i) q^{22} +(-239.119 + 414.166i) q^{23} +(-155.764 + 985.427i) q^{24} +(697.100 + 1207.41i) q^{25} +1932.04 q^{26} +(1716.58 - 3376.72i) q^{27} -3253.14 q^{28} +(580.249 + 1005.02i) q^{29} +(-405.015 + 2562.29i) q^{30} +(1186.50 - 2055.07i) q^{31} +(-512.000 + 886.810i) q^{32} +(6844.02 - 2629.60i) q^{33} +(-2519.72 - 4364.28i) q^{34} -8458.76 q^{35} +(2887.74 - 2603.37i) q^{36} +8185.10 q^{37} +(-3957.89 - 6855.26i) q^{38} +(-5852.91 - 4736.60i) q^{39} +(-1331.29 + 2305.87i) q^{40} +(-8758.87 + 15170.8i) q^{41} +(9855.02 + 7975.40i) q^{42} +(-11435.0 - 19806.1i) q^{43} +7525.37 q^{44} +(7508.64 - 6769.22i) q^{45} +1912.95 q^{46} +(8685.43 + 15043.6i) q^{47} +(3725.15 - 1431.27i) q^{48} +(-12266.3 + 21245.9i) q^{49} +(2788.40 - 4829.65i) q^{50} +(-3066.26 + 19398.4i) q^{51} +(-3864.09 - 6692.80i) q^{52} -5390.58 q^{53} +(-15130.5 + 807.021i) q^{54} +19567.3 q^{55} +(6506.29 + 11269.2i) q^{56} +(-4816.38 + 30470.4i) q^{57} +(2321.00 - 4020.09i) q^{58} +(22281.8 - 38593.2i) q^{59} +(9686.05 - 3721.56i) q^{60} +(-2084.17 - 3609.88i) q^{61} -9491.97 q^{62} +(-10302.2 - 48321.1i) q^{63} +4096.00 q^{64} +(-10047.3 - 17402.5i) q^{65} +(-22797.3 - 18449.2i) q^{66} +(-1228.46 + 2127.76i) q^{67} +(-10078.9 + 17457.1i) q^{68} +(-5795.07 - 4689.79i) q^{69} +(16917.5 + 29302.0i) q^{70} +2184.37 q^{71} +(-14793.8 - 4796.69i) q^{72} +3037.34 q^{73} +(-16370.2 - 28354.0i) q^{74} +(-20287.5 + 7794.83i) q^{75} +(-15831.5 + 27421.0i) q^{76} +(47814.7 - 82817.5i) q^{77} +(-4702.24 + 29748.3i) q^{78} +(25266.2 + 43762.3i) q^{79} +10650.3 q^{80} +(47814.5 + 34649.1i) q^{81} +70070.9 q^{82} +(25913.9 + 44884.2i) q^{83} +(7917.55 - 50089.6i) q^{84} +(-26206.9 + 45391.7i) q^{85} +(-45740.1 + 79224.3i) q^{86} +(-16886.8 + 6488.23i) q^{87} +(-15050.7 - 26068.7i) q^{88} -20154.7 q^{89} +(-38466.5 - 12472.3i) q^{90} -98206.5 q^{91} +(-3825.91 - 6626.66i) q^{92} +(28754.8 + 23270.5i) q^{93} +(34741.7 - 60174.4i) q^{94} +(-41164.9 + 71299.6i) q^{95} +(-12408.4 - 10041.7i) q^{96} +(-40214.4 - 69653.3i) q^{97} +98130.4 q^{98} +(23831.7 + 111779. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9} + 432 q^{10} - 315 q^{11} - 96 q^{12} - 744 q^{13} - 528 q^{14} + 2286 q^{15} - 768 q^{16} + 2898 q^{17} + 1056 q^{18} + 2262 q^{19} - 864 q^{20} - 11076 q^{21} - 1260 q^{22} - 3168 q^{23} + 576 q^{24} - 2883 q^{25} + 5952 q^{26} + 18144 q^{27} + 4224 q^{28} - 5148 q^{29} - 14400 q^{30} - 8610 q^{31} - 3072 q^{32} + 17469 q^{33} - 5796 q^{34} + 2700 q^{35} - 1392 q^{36} + 39936 q^{37} - 4524 q^{38} - 49026 q^{39} - 3456 q^{40} + 5049 q^{41} + 41352 q^{42} - 31389 q^{43} + 10080 q^{44} + 2538 q^{45} + 25344 q^{46} + 12924 q^{47} - 768 q^{48} - 52857 q^{49} - 11532 q^{50} + 36837 q^{51} - 11904 q^{52} - 96048 q^{53} - 71892 q^{54} + 126252 q^{55} - 8448 q^{56} - 17469 q^{57} - 20592 q^{58} + 62955 q^{59} + 21024 q^{60} - 75966 q^{61} + 68880 q^{62} + 49578 q^{63} + 24576 q^{64} + 108702 q^{65} + 2952 q^{66} - 32991 q^{67} - 23184 q^{68} - 29250 q^{69} - 5400 q^{70} - 129672 q^{71} - 11328 q^{72} - 8466 q^{73} - 79872 q^{74} - 105483 q^{75} - 18096 q^{76} + 88740 q^{77} + 171720 q^{78} + 89202 q^{79} + 27648 q^{80} + 123435 q^{81} - 40392 q^{82} + 32634 q^{83} + 11808 q^{84} + 71388 q^{85} - 125556 q^{86} - 151524 q^{87} - 20160 q^{88} + 66132 q^{89} - 263088 q^{90} - 301836 q^{91} - 50688 q^{92} + 57678 q^{93} + 51696 q^{94} - 82944 q^{95} - 6144 q^{96} + 46245 q^{97} + 422856 q^{98} + 282168 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.00000 3.46410i −0.353553 0.612372i
\(3\) −2.43381 + 15.3973i −0.156129 + 0.987737i
\(4\) −8.00000 + 13.8564i −0.250000 + 0.433013i
\(5\) −20.8014 + 36.0292i −0.372108 + 0.644509i −0.989890 0.141840i \(-0.954698\pi\)
0.617782 + 0.786349i \(0.288031\pi\)
\(6\) 58.2054 22.3636i 0.660063 0.253608i
\(7\) 101.661 + 176.082i 0.784166 + 1.35822i 0.929496 + 0.368832i \(0.120242\pi\)
−0.145330 + 0.989383i \(0.546424\pi\)
\(8\) 64.0000 0.353553
\(9\) −231.153 74.9483i −0.951247 0.308429i
\(10\) 166.412 0.526239
\(11\) −235.168 407.323i −0.585998 1.01498i −0.994750 0.102333i \(-0.967369\pi\)
0.408752 0.912646i \(-0.365964\pi\)
\(12\) −193.881 156.902i −0.388670 0.314540i
\(13\) −241.506 + 418.300i −0.396341 + 0.686482i −0.993271 0.115811i \(-0.963053\pi\)
0.596931 + 0.802293i \(0.296387\pi\)
\(14\) 406.643 704.326i 0.554489 0.960403i
\(15\) −504.125 407.974i −0.578508 0.468171i
\(16\) −128.000 221.703i −0.125000 0.216506i
\(17\) 1259.86 1.05730 0.528652 0.848839i \(-0.322698\pi\)
0.528652 + 0.848839i \(0.322698\pi\)
\(18\) 202.678 + 950.634i 0.147443 + 0.691564i
\(19\) 1978.94 1.25762 0.628810 0.777559i \(-0.283542\pi\)
0.628810 + 0.777559i \(0.283542\pi\)
\(20\) −332.823 576.466i −0.186054 0.322255i
\(21\) −2958.60 + 1136.75i −1.46399 + 0.562492i
\(22\) −940.672 + 1629.29i −0.414363 + 0.717698i
\(23\) −239.119 + 414.166i −0.0942529 + 0.163251i −0.909297 0.416149i \(-0.863380\pi\)
0.815044 + 0.579400i \(0.196713\pi\)
\(24\) −155.764 + 985.427i −0.0552000 + 0.349218i
\(25\) 697.100 + 1207.41i 0.223072 + 0.386372i
\(26\) 1932.04 0.560511
\(27\) 1716.58 3376.72i 0.453164 0.891427i
\(28\) −3253.14 −0.784166
\(29\) 580.249 + 1005.02i 0.128121 + 0.221912i 0.922949 0.384923i \(-0.125772\pi\)
−0.794828 + 0.606835i \(0.792439\pi\)
\(30\) −405.015 + 2562.29i −0.0821614 + 0.519786i
\(31\) 1186.50 2055.07i 0.221749 0.384081i −0.733590 0.679592i \(-0.762157\pi\)
0.955339 + 0.295511i \(0.0954901\pi\)
\(32\) −512.000 + 886.810i −0.0883883 + 0.153093i
\(33\) 6844.02 2629.60i 1.09402 0.420344i
\(34\) −2519.72 4364.28i −0.373813 0.647464i
\(35\) −8458.76 −1.16718
\(36\) 2887.74 2603.37i 0.371366 0.334795i
\(37\) 8185.10 0.982923 0.491462 0.870899i \(-0.336463\pi\)
0.491462 + 0.870899i \(0.336463\pi\)
\(38\) −3957.89 6855.26i −0.444636 0.770132i
\(39\) −5852.91 4736.60i −0.616183 0.498660i
\(40\) −1331.29 + 2305.87i −0.131560 + 0.227868i
\(41\) −8758.87 + 15170.8i −0.813745 + 1.40945i 0.0964809 + 0.995335i \(0.469241\pi\)
−0.910226 + 0.414113i \(0.864092\pi\)
\(42\) 9855.02 + 7975.40i 0.862054 + 0.697636i
\(43\) −11435.0 19806.1i −0.943119 1.63353i −0.759475 0.650537i \(-0.774544\pi\)
−0.183644 0.982993i \(-0.558789\pi\)
\(44\) 7525.37 0.585998
\(45\) 7508.64 6769.22i 0.552752 0.498319i
\(46\) 1912.95 0.133294
\(47\) 8685.43 + 15043.6i 0.573518 + 0.993362i 0.996201 + 0.0870843i \(0.0277550\pi\)
−0.422683 + 0.906277i \(0.638912\pi\)
\(48\) 3725.15 1431.27i 0.233367 0.0896641i
\(49\) −12266.3 + 21245.9i −0.729833 + 1.26411i
\(50\) 2788.40 4829.65i 0.157736 0.273206i
\(51\) −3066.26 + 19398.4i −0.165076 + 1.04434i
\(52\) −3864.09 6692.80i −0.198170 0.343241i
\(53\) −5390.58 −0.263600 −0.131800 0.991276i \(-0.542076\pi\)
−0.131800 + 0.991276i \(0.542076\pi\)
\(54\) −15130.5 + 807.021i −0.706103 + 0.0376617i
\(55\) 19567.3 0.872218
\(56\) 6506.29 + 11269.2i 0.277245 + 0.480202i
\(57\) −4816.38 + 30470.4i −0.196351 + 1.24220i
\(58\) 2321.00 4020.09i 0.0905951 0.156915i
\(59\) 22281.8 38593.2i 0.833335 1.44338i −0.0620431 0.998073i \(-0.519762\pi\)
0.895379 0.445306i \(-0.146905\pi\)
\(60\) 9686.05 3721.56i 0.347351 0.133459i
\(61\) −2084.17 3609.88i −0.0717147 0.124213i 0.827938 0.560819i \(-0.189514\pi\)
−0.899653 + 0.436606i \(0.856180\pi\)
\(62\) −9491.97 −0.313601
\(63\) −10302.2 48321.1i −0.327023 1.53386i
\(64\) 4096.00 0.125000
\(65\) −10047.3 17402.5i −0.294963 0.510891i
\(66\) −22797.3 18449.2i −0.644203 0.521336i
\(67\) −1228.46 + 2127.76i −0.0334330 + 0.0579076i −0.882258 0.470767i \(-0.843977\pi\)
0.848825 + 0.528674i \(0.177311\pi\)
\(68\) −10078.9 + 17457.1i −0.264326 + 0.457826i
\(69\) −5795.07 4689.79i −0.146533 0.118585i
\(70\) 16917.5 + 29302.0i 0.412659 + 0.714747i
\(71\) 2184.37 0.0514256 0.0257128 0.999669i \(-0.491814\pi\)
0.0257128 + 0.999669i \(0.491814\pi\)
\(72\) −14793.8 4796.69i −0.336317 0.109046i
\(73\) 3037.34 0.0667093 0.0333546 0.999444i \(-0.489381\pi\)
0.0333546 + 0.999444i \(0.489381\pi\)
\(74\) −16370.2 28354.0i −0.347516 0.601915i
\(75\) −20287.5 + 7794.83i −0.416462 + 0.160012i
\(76\) −15831.5 + 27421.0i −0.314405 + 0.544565i
\(77\) 47814.7 82817.5i 0.919040 1.59182i
\(78\) −4702.24 + 29748.3i −0.0875121 + 0.553637i
\(79\) 25266.2 + 43762.3i 0.455482 + 0.788918i 0.998716 0.0506633i \(-0.0161335\pi\)
−0.543234 + 0.839582i \(0.682800\pi\)
\(80\) 10650.3 0.186054
\(81\) 47814.5 + 34649.1i 0.809743 + 0.586785i
\(82\) 70070.9 1.15081
\(83\) 25913.9 + 44884.2i 0.412893 + 0.715152i 0.995205 0.0978135i \(-0.0311849\pi\)
−0.582311 + 0.812966i \(0.697852\pi\)
\(84\) 7917.55 50089.6i 0.122431 0.774550i
\(85\) −26206.9 + 45391.7i −0.393431 + 0.681442i
\(86\) −45740.1 + 79224.3i −0.666886 + 1.15508i
\(87\) −16886.8 + 6488.23i −0.239194 + 0.0919027i
\(88\) −15050.7 26068.7i −0.207182 0.358849i
\(89\) −20154.7 −0.269713 −0.134857 0.990865i \(-0.543057\pi\)
−0.134857 + 0.990865i \(0.543057\pi\)
\(90\) −38466.5 12472.3i −0.500584 0.162308i
\(91\) −98206.5 −1.24319
\(92\) −3825.91 6626.66i −0.0471264 0.0816254i
\(93\) 28754.8 + 23270.5i 0.344749 + 0.278996i
\(94\) 34741.7 60174.4i 0.405538 0.702413i
\(95\) −41164.9 + 71299.6i −0.467970 + 0.810547i
\(96\) −12408.4 10041.7i −0.137416 0.111207i
\(97\) −40214.4 69653.3i −0.433962 0.751644i 0.563248 0.826288i \(-0.309552\pi\)
−0.997210 + 0.0746433i \(0.976218\pi\)
\(98\) 98130.4 1.03214
\(99\) 23831.7 + 111779.i 0.244380 + 1.14623i
\(100\) −22307.2 −0.223072
\(101\) −28450.2 49277.2i −0.277512 0.480665i 0.693254 0.720694i \(-0.256177\pi\)
−0.970766 + 0.240028i \(0.922843\pi\)
\(102\) 73330.7 28175.0i 0.697887 0.268141i
\(103\) 98505.0 170616.i 0.914882 1.58462i 0.107808 0.994172i \(-0.465617\pi\)
0.807074 0.590451i \(-0.201050\pi\)
\(104\) −15456.4 + 26771.2i −0.140128 + 0.242708i
\(105\) 20587.0 130242.i 0.182230 1.15286i
\(106\) 10781.2 + 18673.5i 0.0931967 + 0.161421i
\(107\) −23482.4 −0.198282 −0.0991411 0.995073i \(-0.531610\pi\)
−0.0991411 + 0.995073i \(0.531610\pi\)
\(108\) 33056.5 + 50799.5i 0.272708 + 0.419083i
\(109\) −118550. −0.955727 −0.477863 0.878434i \(-0.658589\pi\)
−0.477863 + 0.878434i \(0.658589\pi\)
\(110\) −39134.7 67783.2i −0.308375 0.534122i
\(111\) −19921.0 + 126028.i −0.153463 + 0.970869i
\(112\) 26025.1 45076.9i 0.196042 0.339554i
\(113\) 223.401 386.942i 0.00164585 0.00285069i −0.865201 0.501425i \(-0.832809\pi\)
0.866847 + 0.498574i \(0.166143\pi\)
\(114\) 115185. 44256.3i 0.830108 0.318943i
\(115\) −9948.04 17230.5i −0.0701444 0.121494i
\(116\) −18568.0 −0.128121
\(117\) 87175.6 78590.9i 0.588749 0.530772i
\(118\) −178254. −1.17851
\(119\) 128078. + 221838.i 0.829102 + 1.43605i
\(120\) −32264.0 26110.3i −0.204534 0.165523i
\(121\) −30082.4 + 52104.3i −0.186788 + 0.323527i
\(122\) −8336.67 + 14439.5i −0.0507099 + 0.0878322i
\(123\) −212272. 171786.i −1.26511 1.02382i
\(124\) 18983.9 + 32881.1i 0.110875 + 0.192040i
\(125\) −188012. −1.07624
\(126\) −146785. + 132330.i −0.823673 + 0.742561i
\(127\) 193803. 1.06623 0.533116 0.846042i \(-0.321021\pi\)
0.533116 + 0.846042i \(0.321021\pi\)
\(128\) −8192.00 14189.0i −0.0441942 0.0765466i
\(129\) 332790. 127864.i 1.76075 0.676511i
\(130\) −40189.3 + 69609.9i −0.208570 + 0.361254i
\(131\) −48037.8 + 83203.8i −0.244571 + 0.423609i −0.962011 0.273011i \(-0.911980\pi\)
0.717440 + 0.696620i \(0.245314\pi\)
\(132\) −18315.4 + 115870.i −0.0914915 + 0.578812i
\(133\) 201181. + 348455.i 0.986183 + 1.70812i
\(134\) 9827.70 0.0472813
\(135\) 85953.0 + 132088.i 0.405907 + 0.623775i
\(136\) 80631.0 0.373813
\(137\) −116089. 201071.i −0.528431 0.915269i −0.999451 0.0331465i \(-0.989447\pi\)
0.471020 0.882123i \(-0.343886\pi\)
\(138\) −4655.77 + 29454.3i −0.0208110 + 0.131659i
\(139\) 80284.0 139056.i 0.352445 0.610453i −0.634232 0.773143i \(-0.718684\pi\)
0.986677 + 0.162689i \(0.0520169\pi\)
\(140\) 67670.1 117208.i 0.291794 0.505402i
\(141\) −252770. + 97118.8i −1.07072 + 0.411392i
\(142\) −4368.73 7566.87i −0.0181817 0.0314916i
\(143\) 227177. 0.929020
\(144\) 12971.4 + 60840.6i 0.0521290 + 0.244505i
\(145\) −48280.1 −0.190699
\(146\) −6074.68 10521.7i −0.0235853 0.0408509i
\(147\) −297275. 240576.i −1.13466 0.918247i
\(148\) −65480.8 + 113416.i −0.245731 + 0.425618i
\(149\) 139592. 241781.i 0.515105 0.892189i −0.484741 0.874658i \(-0.661086\pi\)
0.999846 0.0175309i \(-0.00558055\pi\)
\(150\) 67577.1 + 54688.3i 0.245229 + 0.198457i
\(151\) 14288.8 + 24749.0i 0.0509981 + 0.0883314i 0.890398 0.455184i \(-0.150426\pi\)
−0.839399 + 0.543515i \(0.817093\pi\)
\(152\) 126652. 0.444636
\(153\) −291221. 94424.3i −1.00576 0.326103i
\(154\) −382517. −1.29972
\(155\) 49361.6 + 85496.9i 0.165029 + 0.285839i
\(156\) 112455. 43207.5i 0.369972 0.142150i
\(157\) 62127.0 107607.i 0.201155 0.348411i −0.747746 0.663985i \(-0.768864\pi\)
0.948901 + 0.315574i \(0.102197\pi\)
\(158\) 101065. 175049.i 0.322075 0.557850i
\(159\) 13119.7 83000.3i 0.0411557 0.260367i
\(160\) −21300.7 36893.9i −0.0657799 0.113934i
\(161\) −97236.1 −0.295640
\(162\) 24398.8 234932.i 0.0730435 0.703324i
\(163\) 163892. 0.483159 0.241579 0.970381i \(-0.422335\pi\)
0.241579 + 0.970381i \(0.422335\pi\)
\(164\) −140142. 242733.i −0.406872 0.704724i
\(165\) −47623.2 + 301284.i −0.136179 + 0.861521i
\(166\) 103656. 179537.i 0.291960 0.505689i
\(167\) 81164.7 140581.i 0.225204 0.390065i −0.731177 0.682188i \(-0.761028\pi\)
0.956381 + 0.292123i \(0.0943618\pi\)
\(168\) −189351. + 72752.0i −0.517599 + 0.198871i
\(169\) 68996.6 + 119506.i 0.185828 + 0.321863i
\(170\) 209655. 0.556395
\(171\) −457439. 148318.i −1.19631 0.387887i
\(172\) 365921. 0.943119
\(173\) 192179. + 332863.i 0.488191 + 0.845572i 0.999908 0.0135821i \(-0.00432345\pi\)
−0.511716 + 0.859154i \(0.670990\pi\)
\(174\) 56249.6 + 45521.2i 0.140846 + 0.113983i
\(175\) −141735. + 245493.i −0.349851 + 0.605960i
\(176\) −60203.0 + 104275.i −0.146500 + 0.253745i
\(177\) 540001. + 437008.i 1.29557 + 1.04847i
\(178\) 40309.5 + 69818.1i 0.0953581 + 0.165165i
\(179\) −511991. −1.19434 −0.597172 0.802113i \(-0.703709\pi\)
−0.597172 + 0.802113i \(0.703709\pi\)
\(180\) 33727.9 + 158197.i 0.0775904 + 0.363928i
\(181\) −285832. −0.648507 −0.324254 0.945970i \(-0.605113\pi\)
−0.324254 + 0.945970i \(0.605113\pi\)
\(182\) 196413. + 340197.i 0.439533 + 0.761294i
\(183\) 60654.9 23304.7i 0.133887 0.0514419i
\(184\) −15303.6 + 26506.7i −0.0333234 + 0.0577179i
\(185\) −170262. + 294902.i −0.365753 + 0.633503i
\(186\) 23101.7 146151.i 0.0489622 0.309755i
\(187\) −296279. 513170.i −0.619578 1.07314i
\(188\) −277934. −0.573518
\(189\) 769087. 41021.1i 1.56611 0.0835321i
\(190\) 329319. 0.661809
\(191\) −18626.1 32261.4i −0.0369436 0.0639882i 0.846962 0.531653i \(-0.178429\pi\)
−0.883906 + 0.467665i \(0.845096\pi\)
\(192\) −9968.90 + 63067.3i −0.0195162 + 0.123467i
\(193\) −289378. + 501217.i −0.559206 + 0.968573i 0.438357 + 0.898801i \(0.355561\pi\)
−0.997563 + 0.0697722i \(0.977773\pi\)
\(194\) −160857. + 278613.i −0.306858 + 0.531493i
\(195\) 292404. 112347.i 0.550678 0.211581i
\(196\) −196261. 339934.i −0.364917 0.632054i
\(197\) 234386. 0.430294 0.215147 0.976582i \(-0.430977\pi\)
0.215147 + 0.976582i \(0.430977\pi\)
\(198\) 339552. 306114.i 0.615521 0.554907i
\(199\) 200551. 0.358997 0.179499 0.983758i \(-0.442552\pi\)
0.179499 + 0.983758i \(0.442552\pi\)
\(200\) 44614.4 + 77274.4i 0.0788679 + 0.136603i
\(201\) −29771.9 24093.6i −0.0519776 0.0420640i
\(202\) −113801. + 197109.i −0.196231 + 0.339882i
\(203\) −117977. + 204342.i −0.200936 + 0.348031i
\(204\) −244262. 197675.i −0.410943 0.332565i
\(205\) −364394. 631149.i −0.605601 1.04893i
\(206\) −788040. −1.29384
\(207\) 86314.2 77814.3i 0.140009 0.126222i
\(208\) 123651. 0.198170
\(209\) −465384. 806069.i −0.736963 1.27646i
\(210\) −492345. + 189168.i −0.770410 + 0.296006i
\(211\) 269826. 467352.i 0.417232 0.722667i −0.578428 0.815733i \(-0.696334\pi\)
0.995660 + 0.0930667i \(0.0296670\pi\)
\(212\) 43124.6 74694.0i 0.0659000 0.114142i
\(213\) −5316.34 + 33633.3i −0.00802905 + 0.0507950i
\(214\) 46964.9 + 81345.5i 0.0701033 + 0.121423i
\(215\) 951461. 1.40377
\(216\) 109861. 216110.i 0.160218 0.315167i
\(217\) 482480. 0.695553
\(218\) 237099. + 410668.i 0.337900 + 0.585261i
\(219\) −7392.32 + 46766.8i −0.0104153 + 0.0658912i
\(220\) −156539. + 271133.i −0.218054 + 0.377681i
\(221\) −304263. + 526999.i −0.419053 + 0.725821i
\(222\) 476417. 183048.i 0.648791 0.249278i
\(223\) −442584. 766578.i −0.595983 1.03227i −0.993407 0.114638i \(-0.963429\pi\)
0.397424 0.917635i \(-0.369904\pi\)
\(224\) −208201. −0.277245
\(225\) −70643.3 331344.i −0.0930282 0.436337i
\(226\) −1787.21 −0.00232758
\(227\) −159067. 275512.i −0.204887 0.354875i 0.745210 0.666830i \(-0.232349\pi\)
−0.950097 + 0.311955i \(0.899016\pi\)
\(228\) −383679. 310501.i −0.488799 0.395572i
\(229\) −246934. + 427703.i −0.311166 + 0.538956i −0.978615 0.205700i \(-0.934053\pi\)
0.667449 + 0.744656i \(0.267386\pi\)
\(230\) −39792.2 + 68922.1i −0.0495996 + 0.0859090i
\(231\) 1.15879e6 + 937779.i 1.42881 + 1.15630i
\(232\) 37136.0 + 64321.4i 0.0452976 + 0.0784577i
\(233\) 1.16189e6 1.40208 0.701041 0.713121i \(-0.252719\pi\)
0.701041 + 0.713121i \(0.252719\pi\)
\(234\) −446598. 144803.i −0.533184 0.172878i
\(235\) −722678. −0.853641
\(236\) 356508. + 617491.i 0.416668 + 0.721690i
\(237\) −735313. + 282521.i −0.850358 + 0.326723i
\(238\) 512313. 887352.i 0.586264 1.01544i
\(239\) 579263. 1.00331e6i 0.655965 1.13617i −0.325685 0.945478i \(-0.605595\pi\)
0.981651 0.190687i \(-0.0610716\pi\)
\(240\) −25920.9 + 163986.i −0.0290484 + 0.183772i
\(241\) 410557. + 711106.i 0.455335 + 0.788663i 0.998707 0.0508285i \(-0.0161862\pi\)
−0.543372 + 0.839492i \(0.682853\pi\)
\(242\) 240659. 0.264158
\(243\) −649873. + 651885.i −0.706013 + 0.708198i
\(244\) 66693.4 0.0717147
\(245\) −510314. 883889.i −0.543153 0.940768i
\(246\) −170540. + 1.07890e6i −0.179675 + 1.13670i
\(247\) −477926. + 827792.i −0.498446 + 0.863334i
\(248\) 75935.7 131525.i 0.0784002 0.135793i
\(249\) −754165. + 289764.i −0.770847 + 0.296174i
\(250\) 376024. + 651292.i 0.380509 + 0.659061i
\(251\) −852357. −0.853959 −0.426980 0.904261i \(-0.640422\pi\)
−0.426980 + 0.904261i \(0.640422\pi\)
\(252\) 751974. + 243817.i 0.745936 + 0.241860i
\(253\) 224933. 0.220928
\(254\) −387606. 671354.i −0.376970 0.652931i
\(255\) −635126. 513990.i −0.611659 0.494999i
\(256\) −32768.0 + 56755.8i −0.0312500 + 0.0541266i
\(257\) −650171. + 1.12613e6i −0.614037 + 1.06354i 0.376515 + 0.926410i \(0.377122\pi\)
−0.990553 + 0.137133i \(0.956211\pi\)
\(258\) −1.10852e6 897091.i −1.03679 0.839049i
\(259\) 832103. + 1.44124e6i 0.770775 + 1.33502i
\(260\) 321515. 0.294963
\(261\) −58801.8 275803.i −0.0534305 0.250609i
\(262\) 384302. 0.345875
\(263\) 572288. + 991232.i 0.510182 + 0.883662i 0.999930 + 0.0117977i \(0.00375542\pi\)
−0.489748 + 0.871864i \(0.662911\pi\)
\(264\) 438017. 168294.i 0.386796 0.148614i
\(265\) 112132. 194218.i 0.0980876 0.169893i
\(266\) 804723. 1.39382e6i 0.697336 1.20782i
\(267\) 49052.9 310329.i 0.0421101 0.266406i
\(268\) −19655.4 34044.1i −0.0167165 0.0289538i
\(269\) 1.54095e6 1.29840 0.649199 0.760619i \(-0.275104\pi\)
0.649199 + 0.760619i \(0.275104\pi\)
\(270\) 285659. 561925.i 0.238473 0.469104i
\(271\) 1.42397e6 1.17782 0.588908 0.808200i \(-0.299558\pi\)
0.588908 + 0.808200i \(0.299558\pi\)
\(272\) −161262. 279314.i −0.132163 0.228913i
\(273\) 239016. 1.51211e6i 0.194098 1.22794i
\(274\) −464355. + 804286.i −0.373657 + 0.647193i
\(275\) 327871. 567889.i 0.261440 0.452827i
\(276\) 111344. 42780.5i 0.0879822 0.0338044i
\(277\) −798009. 1.38219e6i −0.624897 1.08235i −0.988561 0.150823i \(-0.951808\pi\)
0.363664 0.931530i \(-0.381526\pi\)
\(278\) −642272. −0.498433
\(279\) −428286. + 386110.i −0.329400 + 0.296962i
\(280\) −541361. −0.412659
\(281\) −200767. 347738.i −0.151679 0.262716i 0.780166 0.625573i \(-0.215135\pi\)
−0.931845 + 0.362857i \(0.881801\pi\)
\(282\) 841968. + 681382.i 0.630483 + 0.510232i
\(283\) −535582. + 927656.i −0.397521 + 0.688527i −0.993419 0.114533i \(-0.963463\pi\)
0.595898 + 0.803060i \(0.296796\pi\)
\(284\) −17474.9 + 30267.5i −0.0128564 + 0.0222680i
\(285\) −997634. 807358.i −0.727544 0.588781i
\(286\) −454355. 786966.i −0.328458 0.568906i
\(287\) −3.56173e6 −2.55244
\(288\) 184815. 166615.i 0.131298 0.118368i
\(289\) 167390. 0.117892
\(290\) 96560.2 + 167247.i 0.0674222 + 0.116779i
\(291\) 1.17035e6 449669.i 0.810181 0.311287i
\(292\) −24298.7 + 42086.6i −0.0166773 + 0.0288860i
\(293\) 358830. 621511.i 0.244185 0.422941i −0.717717 0.696335i \(-0.754813\pi\)
0.961902 + 0.273394i \(0.0881462\pi\)
\(294\) −238831. + 1.51094e6i −0.161147 + 1.01948i
\(295\) 926986. + 1.60559e6i 0.620181 + 1.07418i
\(296\) 523846. 0.347516
\(297\) −1.77910e6 + 94892.7i −1.17033 + 0.0624226i
\(298\) −1.11674e6 −0.728469
\(299\) −115497. 200047.i −0.0747125 0.129406i
\(300\) 54291.6 343470.i 0.0348281 0.220336i
\(301\) 2.32499e6 4.02700e6i 1.47912 2.56192i
\(302\) 57155.3 98995.9i 0.0360611 0.0624597i
\(303\) 827978. 318125.i 0.518098 0.199063i
\(304\) −253305. 438737.i −0.157202 0.272283i
\(305\) 173415. 0.106742
\(306\) 255346. + 1.19767e6i 0.155892 + 0.731193i
\(307\) −2.25621e6 −1.36626 −0.683131 0.730296i \(-0.739382\pi\)
−0.683131 + 0.730296i \(0.739382\pi\)
\(308\) 765035. + 1.32508e6i 0.459520 + 0.795912i
\(309\) 2.38728e6 + 1.93196e6i 1.42235 + 1.15107i
\(310\) 197447. 341988.i 0.116693 0.202118i
\(311\) −897190. + 1.55398e6i −0.525997 + 0.911054i 0.473544 + 0.880770i \(0.342974\pi\)
−0.999541 + 0.0302837i \(0.990359\pi\)
\(312\) −374586. 303142.i −0.217854 0.176303i
\(313\) 281895. + 488257.i 0.162640 + 0.281701i 0.935815 0.352492i \(-0.114666\pi\)
−0.773175 + 0.634193i \(0.781332\pi\)
\(314\) −497016. −0.284476
\(315\) 1.95527e6 + 633969.i 1.11027 + 0.359991i
\(316\) −808517. −0.455482
\(317\) 1.59153e6 + 2.75662e6i 0.889544 + 1.54074i 0.840415 + 0.541943i \(0.182311\pi\)
0.0491288 + 0.998792i \(0.484356\pi\)
\(318\) −313761. + 120553.i −0.173993 + 0.0668512i
\(319\) 272912. 472698.i 0.150157 0.260080i
\(320\) −85202.7 + 147575.i −0.0465134 + 0.0805636i
\(321\) 57151.9 361566.i 0.0309576 0.195851i
\(322\) 194472. + 336836.i 0.104524 + 0.181042i
\(323\) 2.49319e6 1.32969
\(324\) −862627. + 385345.i −0.456521 + 0.203933i
\(325\) −673414. −0.353650
\(326\) −327785. 567740.i −0.170822 0.295873i
\(327\) 288528. 1.82534e6i 0.149217 0.944006i
\(328\) −560567. + 970931.i −0.287702 + 0.498315i
\(329\) −1.76593e6 + 3.05869e6i −0.899466 + 1.55792i
\(330\) 1.13892e6 437596.i 0.575718 0.221202i
\(331\) 3762.47 + 6516.79i 0.00188757 + 0.00326937i 0.866968 0.498364i \(-0.166066\pi\)
−0.865080 + 0.501634i \(0.832733\pi\)
\(332\) −829246. −0.412893
\(333\) −1.89201e6 613459.i −0.935003 0.303162i
\(334\) −649318. −0.318487
\(335\) −51107.6 88520.9i −0.0248813 0.0430957i
\(336\) 630721. + 510425.i 0.304782 + 0.246652i
\(337\) 734831. 1.27277e6i 0.352463 0.610483i −0.634218 0.773154i \(-0.718678\pi\)
0.986680 + 0.162671i \(0.0520111\pi\)
\(338\) 275986. 478023.i 0.131400 0.227592i
\(339\) 5414.14 + 4381.51i 0.00255876 + 0.00207074i
\(340\) −419310. 726267.i −0.196715 0.340721i
\(341\) −1.11610e6 −0.519779
\(342\) 401088. + 1.88125e6i 0.185427 + 0.869724i
\(343\) −1.57078e6 −0.720909
\(344\) −731842. 1.26759e6i −0.333443 0.577540i
\(345\) 289515. 111237.i 0.130955 0.0503155i
\(346\) 768715. 1.33145e6i 0.345203 0.597910i
\(347\) 1.31149e6 2.27156e6i 0.584709 1.01275i −0.410203 0.911994i \(-0.634542\pi\)
0.994912 0.100751i \(-0.0321246\pi\)
\(348\) 45191.0 285897.i 0.0200034 0.126550i
\(349\) −582327. 1.00862e6i −0.255919 0.443265i 0.709225 0.704982i \(-0.249045\pi\)
−0.965145 + 0.261716i \(0.915711\pi\)
\(350\) 1.13388e6 0.494764
\(351\) 997918. + 1.53354e6i 0.432341 + 0.664398i
\(352\) 481624. 0.207182
\(353\) −1.57339e6 2.72518e6i −0.672045 1.16402i −0.977323 0.211753i \(-0.932083\pi\)
0.305278 0.952263i \(-0.401251\pi\)
\(354\) 433838. 2.74463e6i 0.184001 1.16406i
\(355\) −45438.0 + 78700.9i −0.0191359 + 0.0331443i
\(356\) 161238. 279272.i 0.0674283 0.116789i
\(357\) −3.72742e6 + 1.43215e6i −1.54788 + 0.594726i
\(358\) 1.02398e6 + 1.77359e6i 0.422264 + 0.731383i
\(359\) −720847. −0.295194 −0.147597 0.989048i \(-0.547154\pi\)
−0.147597 + 0.989048i \(0.547154\pi\)
\(360\) 480553. 433230.i 0.195427 0.176182i
\(361\) 1.44012e6 0.581607
\(362\) 571664. + 990152.i 0.229282 + 0.397128i
\(363\) −729050. 590000.i −0.290396 0.235009i
\(364\) 785652. 1.36079e6i 0.310797 0.538316i
\(365\) −63181.1 + 109433.i −0.0248230 + 0.0429947i
\(366\) −202040. 163505.i −0.0788378 0.0638012i
\(367\) −41258.2 71461.4i −0.0159899 0.0276953i 0.857920 0.513784i \(-0.171757\pi\)
−0.873910 + 0.486088i \(0.838423\pi\)
\(368\) 122429. 0.0471264
\(369\) 3.16166e6 2.85032e6i 1.20879 1.08975i
\(370\) 1.36209e6 0.517253
\(371\) −548010. 949181.i −0.206706 0.358026i
\(372\) −552484. + 212275.i −0.206996 + 0.0795318i
\(373\) −2.65152e6 + 4.59256e6i −0.986784 + 1.70916i −0.353060 + 0.935601i \(0.614859\pi\)
−0.633724 + 0.773560i \(0.718474\pi\)
\(374\) −1.18511e6 + 2.05268e6i −0.438108 + 0.758826i
\(375\) 457586. 2.89487e6i 0.168033 1.06304i
\(376\) 555868. + 962791.i 0.202769 + 0.351206i
\(377\) −560534. −0.203118
\(378\) −1.68028e6 2.58215e6i −0.604855 0.929507i
\(379\) −49534.8 −0.0177138 −0.00885691 0.999961i \(-0.502819\pi\)
−0.00885691 + 0.999961i \(0.502819\pi\)
\(380\) −658638. 1.14079e6i −0.233985 0.405274i
\(381\) −471681. + 2.98404e6i −0.166470 + 1.05316i
\(382\) −74504.6 + 129046.i −0.0261231 + 0.0452465i
\(383\) 1.92179e6 3.32863e6i 0.669434 1.15949i −0.308628 0.951183i \(-0.599870\pi\)
0.978063 0.208311i \(-0.0667968\pi\)
\(384\) 238409. 91601.3i 0.0825078 0.0317010i
\(385\) 1.98923e6 + 3.44545e6i 0.683963 + 1.18466i
\(386\) 2.31502e6 0.790837
\(387\) 1.15881e6 + 5.43527e6i 0.393311 + 1.84478i
\(388\) 1.28686e6 0.433962
\(389\) 1.96659e6 + 3.40623e6i 0.658930 + 1.14130i 0.980893 + 0.194548i \(0.0623240\pi\)
−0.321963 + 0.946752i \(0.604343\pi\)
\(390\) −973991. 788224.i −0.324260 0.262415i
\(391\) −301257. + 521792.i −0.0996540 + 0.172606i
\(392\) −785044. + 1.35974e6i −0.258035 + 0.446930i
\(393\) −1.16420e6 942154.i −0.380229 0.307709i
\(394\) −468771. 811935.i −0.152132 0.263500i
\(395\) −2.10229e6 −0.677953
\(396\) −1.73951e6 564014.i −0.557429 0.180739i
\(397\) 1.48840e6 0.473960 0.236980 0.971514i \(-0.423842\pi\)
0.236980 + 0.971514i \(0.423842\pi\)
\(398\) −401101. 694727.i −0.126925 0.219840i
\(399\) −5.85490e6 + 2.24956e6i −1.84114 + 0.707402i
\(400\) 178458. 309098.i 0.0557680 0.0965930i
\(401\) 1.84020e6 3.18731e6i 0.571483 0.989837i −0.424931 0.905226i \(-0.639702\pi\)
0.996414 0.0846115i \(-0.0269649\pi\)
\(402\) −23918.8 + 151320.i −0.00738200 + 0.0467015i
\(403\) 573091. + 992622.i 0.175776 + 0.304454i
\(404\) 910407. 0.277512
\(405\) −2.24299e6 + 1.00197e6i −0.679500 + 0.303540i
\(406\) 943817. 0.284166
\(407\) −1.92487e6 3.33398e6i −0.575991 0.997646i
\(408\) −196241. + 1.24150e6i −0.0583632 + 0.369229i
\(409\) −290013. + 502318.i −0.0857254 + 0.148481i −0.905700 0.423919i \(-0.860654\pi\)
0.819975 + 0.572400i \(0.193987\pi\)
\(410\) −1.45758e6 + 2.52460e6i −0.428225 + 0.741707i
\(411\) 3.37849e6 1.29808e6i 0.986549 0.379050i
\(412\) 1.57608e6 + 2.72985e6i 0.457441 + 0.792311i
\(413\) 9.06073e6 2.61389
\(414\) −442185. 143373.i −0.126795 0.0411117i
\(415\) −2.15619e6 −0.614563
\(416\) −247302. 428339.i −0.0700638 0.121354i
\(417\) 1.94569e6 + 1.57459e6i 0.547940 + 0.443433i
\(418\) −1.86154e6 + 3.22427e6i −0.521112 + 0.902592i
\(419\) 759450. 1.31541e6i 0.211331 0.366037i −0.740800 0.671726i \(-0.765553\pi\)
0.952131 + 0.305689i \(0.0988868\pi\)
\(420\) 1.63999e6 + 1.32720e6i 0.453647 + 0.367124i
\(421\) −2.70128e6 4.67875e6i −0.742787 1.28654i −0.951222 0.308508i \(-0.900170\pi\)
0.208435 0.978036i \(-0.433163\pi\)
\(422\) −2.15861e6 −0.590055
\(423\) −880172. 4.12834e6i −0.239175 1.12182i
\(424\) −344997. −0.0931967
\(425\) 878248. + 1.52117e6i 0.235855 + 0.408513i
\(426\) 127142. 48850.3i 0.0339441 0.0130420i
\(427\) 423756. 733967.i 0.112472 0.194808i
\(428\) 187859. 325382.i 0.0495705 0.0858587i
\(429\) −552908. + 3.49792e6i −0.145047 + 0.917627i
\(430\) −1.90292e6 3.29596e6i −0.496306 0.859628i
\(431\) −3.04614e6 −0.789871 −0.394935 0.918709i \(-0.629233\pi\)
−0.394935 + 0.918709i \(0.629233\pi\)
\(432\) −968350. + 51649.3i −0.249645 + 0.0133154i
\(433\) −1.07293e6 −0.275011 −0.137505 0.990501i \(-0.543908\pi\)
−0.137505 + 0.990501i \(0.543908\pi\)
\(434\) −964960. 1.67136e6i −0.245915 0.425937i
\(435\) 117505. 743383.i 0.0297737 0.188360i
\(436\) 948397. 1.64267e6i 0.238932 0.413842i
\(437\) −473203. + 819612.i −0.118534 + 0.205307i
\(438\) 176790. 67925.9i 0.0440323 0.0169180i
\(439\) −3.81738e6 6.61190e6i −0.945376 1.63744i −0.754996 0.655729i \(-0.772361\pi\)
−0.190380 0.981710i \(-0.560972\pi\)
\(440\) 1.25231e6 0.308375
\(441\) 4.42774e6 3.99171e6i 1.08414 0.977378i
\(442\) 2.43411e6 0.592630
\(443\) 3.30067e6 + 5.71693e6i 0.799085 + 1.38406i 0.920213 + 0.391419i \(0.128016\pi\)
−0.121127 + 0.992637i \(0.538651\pi\)
\(444\) −1.58693e6 1.28426e6i −0.382033 0.309169i
\(445\) 419248. 726159.i 0.100362 0.173833i
\(446\) −1.77034e6 + 3.06631e6i −0.421424 + 0.729927i
\(447\) 3.38303e6 + 2.73779e6i 0.800824 + 0.648085i
\(448\) 416402. + 721230.i 0.0980208 + 0.169777i
\(449\) −5.52311e6 −1.29291 −0.646454 0.762953i \(-0.723749\pi\)
−0.646454 + 0.762953i \(0.723749\pi\)
\(450\) −1.00652e6 + 907403.i −0.234310 + 0.211236i
\(451\) 8.23922e6 1.90741
\(452\) 3574.42 + 6191.07i 0.000822923 + 0.00142534i
\(453\) −415844. + 159775.i −0.0952104 + 0.0365816i
\(454\) −636267. + 1.10205e6i −0.144877 + 0.250935i
\(455\) 2.04284e6 3.53830e6i 0.462600 0.801246i
\(456\) −308248. + 1.95010e6i −0.0694206 + 0.439183i
\(457\) −706717. 1.22407e6i −0.158291 0.274167i 0.775962 0.630780i \(-0.217265\pi\)
−0.934252 + 0.356613i \(0.883932\pi\)
\(458\) 1.97547e6 0.440056
\(459\) 2.16266e6 4.25420e6i 0.479132 0.942509i
\(460\) 318337. 0.0701444
\(461\) −4.25416e6 7.36841e6i −0.932312 1.61481i −0.779359 0.626578i \(-0.784455\pi\)
−0.152953 0.988234i \(-0.548878\pi\)
\(462\) 930976. 5.88973e6i 0.202924 1.28378i
\(463\) −2.04077e6 + 3.53472e6i −0.442427 + 0.766307i −0.997869 0.0652489i \(-0.979216\pi\)
0.555442 + 0.831555i \(0.312549\pi\)
\(464\) 148544. 257285.i 0.0320302 0.0554779i
\(465\) −1.43656e6 + 551952.i −0.308099 + 0.118377i
\(466\) −2.32377e6 4.02489e6i −0.495711 0.858597i
\(467\) −5.38239e6 −1.14204 −0.571022 0.820935i \(-0.693453\pi\)
−0.571022 + 0.820935i \(0.693453\pi\)
\(468\) 391582. + 1.83667e6i 0.0826435 + 0.387629i
\(469\) −499545. −0.104868
\(470\) 1.44536e6 + 2.50343e6i 0.301808 + 0.522746i
\(471\) 1.50565e6 + 1.21848e6i 0.312732 + 0.253085i
\(472\) 1.42603e6 2.46996e6i 0.294629 0.510312i
\(473\) −5.37831e6 + 9.31550e6i −1.10533 + 1.91449i
\(474\) 2.44931e6 + 1.98216e6i 0.500723 + 0.405221i
\(475\) 1.37952e6 + 2.38940e6i 0.280540 + 0.485909i
\(476\) −4.09850e6 −0.829102
\(477\) 1.24605e6 + 404014.i 0.250749 + 0.0813019i
\(478\) −4.63410e6 −0.927675
\(479\) 4.29153e6 + 7.43315e6i 0.854621 + 1.48025i 0.876997 + 0.480497i \(0.159544\pi\)
−0.0223760 + 0.999750i \(0.507123\pi\)
\(480\) 619907. 238180.i 0.122807 0.0471848i
\(481\) −1.97675e6 + 3.42383e6i −0.389573 + 0.674760i
\(482\) 1.64223e6 2.84442e6i 0.321970 0.557669i
\(483\) 236655. 1.49717e6i 0.0461580 0.292014i
\(484\) −481319. 833668.i −0.0933941 0.161763i
\(485\) 3.34607e6 0.645922
\(486\) 3.55794e6 + 947458.i 0.683295 + 0.181957i
\(487\) −3.96670e6 −0.757891 −0.378946 0.925419i \(-0.623713\pi\)
−0.378946 + 0.925419i \(0.623713\pi\)
\(488\) −133387. 231033.i −0.0253550 0.0439161i
\(489\) −398884. + 2.52350e6i −0.0754352 + 0.477234i
\(490\) −2.04125e6 + 3.53556e6i −0.384067 + 0.665224i
\(491\) −2.88205e6 + 4.99185e6i −0.539507 + 0.934454i 0.459424 + 0.888217i \(0.348056\pi\)
−0.998931 + 0.0462362i \(0.985277\pi\)
\(492\) 4.07851e6 1.56704e6i 0.759606 0.291855i
\(493\) 731033. + 1.26619e6i 0.135463 + 0.234628i
\(494\) 3.82341e6 0.704909
\(495\) −4.52305e6 1.46654e6i −0.829695 0.269017i
\(496\) −607486. −0.110875
\(497\) 222064. + 384627.i 0.0403262 + 0.0698471i
\(498\) 2.51210e6 + 2.03298e6i 0.453904 + 0.367332i
\(499\) 2.32003e6 4.01841e6i 0.417102 0.722442i −0.578544 0.815651i \(-0.696379\pi\)
0.995647 + 0.0932088i \(0.0297124\pi\)
\(500\) 1.50409e6 2.60517e6i 0.269061 0.466026i
\(501\) 1.96703e6 + 1.59187e6i 0.350120 + 0.283343i
\(502\) 1.70471e6 + 2.95265e6i 0.301920 + 0.522941i
\(503\) −2.73360e6 −0.481743 −0.240872 0.970557i \(-0.577433\pi\)
−0.240872 + 0.970557i \(0.577433\pi\)
\(504\) −659340. 3.09255e6i −0.115620 0.542301i
\(505\) 2.36722e6 0.413057
\(506\) −449865. 779189.i −0.0781099 0.135290i
\(507\) −2.00799e6 + 771506.i −0.346929 + 0.133297i
\(508\) −1.55042e6 + 2.68541e6i −0.266558 + 0.461692i
\(509\) 2.97841e6 5.15877e6i 0.509555 0.882574i −0.490384 0.871506i \(-0.663144\pi\)
0.999939 0.0110680i \(-0.00352313\pi\)
\(510\) −510262. + 3.22812e6i −0.0868696 + 0.549572i
\(511\) 308778. + 534820.i 0.0523112 + 0.0906056i
\(512\) 262144. 0.0441942
\(513\) 3.39702e6 6.68234e6i 0.569908 1.12108i
\(514\) 5.20137e6 0.868380
\(515\) 4.09809e6 + 7.09810e6i 0.680869 + 1.17930i
\(516\) −890584. + 5.63419e6i −0.147248 + 0.931553i
\(517\) 4.08507e6 7.07555e6i 0.672161 1.16422i
\(518\) 3.32841e6 5.76498e6i 0.545020 0.944003i
\(519\) −5.59292e6 + 2.14890e6i −0.911424 + 0.350186i
\(520\) −643029. 1.11376e6i −0.104285 0.180627i
\(521\) −1.11813e7 −1.80468 −0.902339 0.431027i \(-0.858151\pi\)
−0.902339 + 0.431027i \(0.858151\pi\)
\(522\) −837804. + 755301.i −0.134576 + 0.121323i
\(523\) 4.60970e6 0.736917 0.368458 0.929644i \(-0.379886\pi\)
0.368458 + 0.929644i \(0.379886\pi\)
\(524\) −768604. 1.33126e6i −0.122285 0.211804i
\(525\) −3.43497e6 2.77982e6i −0.543907 0.440169i
\(526\) 2.28915e6 3.96493e6i 0.360753 0.624843i
\(527\) 1.49482e6 2.58910e6i 0.234456 0.406090i
\(528\) −1.45902e6 1.18075e6i −0.227760 0.184320i
\(529\) 3.10382e6 + 5.37597e6i 0.482233 + 0.835252i
\(530\) −897054. −0.138717
\(531\) −8.04299e6 + 7.25095e6i −1.23789 + 1.11599i
\(532\) −6.43779e6 −0.986183
\(533\) −4.23063e6 7.32767e6i −0.645041 1.11724i
\(534\) −1.17312e6 + 450733.i −0.178028 + 0.0684016i
\(535\) 488468. 846052.i 0.0737823 0.127795i
\(536\) −78621.6 + 136177.i −0.0118203 + 0.0204734i
\(537\) 1.24609e6 7.88327e6i 0.186472 1.17970i
\(538\) −3.08190e6 5.33801e6i −0.459053 0.795103i
\(539\) 1.15386e7 1.71072
\(540\) −2.51789e6 + 134298.i −0.371579 + 0.0198191i
\(541\) −8.65572e6 −1.27148 −0.635741 0.771902i \(-0.719305\pi\)
−0.635741 + 0.771902i \(0.719305\pi\)
\(542\) −2.84794e6 4.93277e6i −0.416421 0.721262i
\(543\) 695662. 4.40104e6i 0.101251 0.640554i
\(544\) −645048. + 1.11726e6i −0.0934534 + 0.161866i
\(545\) 2.46600e6 4.27124e6i 0.355633 0.615975i
\(546\) −5.71615e6 + 2.19625e6i −0.820582 + 0.315283i
\(547\) −581626. 1.00741e6i −0.0831143 0.143958i 0.821472 0.570249i \(-0.193153\pi\)
−0.904586 + 0.426291i \(0.859820\pi\)
\(548\) 3.71484e6 0.528431
\(549\) 211207. + 990641.i 0.0299073 + 0.140277i
\(550\) −2.62297e6 −0.369731
\(551\) 1.14828e6 + 1.98888e6i 0.161127 + 0.279081i
\(552\) −370884. 300147.i −0.0518073 0.0419262i
\(553\) −5.13715e6 + 8.89781e6i −0.714347 + 1.23729i
\(554\) −3.19204e6 + 5.52877e6i −0.441869 + 0.765339i
\(555\) −4.12631e6 3.33931e6i −0.568629 0.460176i
\(556\) 1.28454e6 + 2.22489e6i 0.176223 + 0.305227i
\(557\) 1.23037e7 1.68034 0.840168 0.542326i \(-0.182456\pi\)
0.840168 + 0.542326i \(0.182456\pi\)
\(558\) 2.19410e6 + 711407.i 0.298312 + 0.0967236i
\(559\) 1.10465e7 1.49519
\(560\) 1.08272e6 + 1.87533e6i 0.145897 + 0.252701i
\(561\) 8.62251e6 3.31293e6i 1.15672 0.444432i
\(562\) −803067. + 1.39095e6i −0.107253 + 0.185768i
\(563\) 2.76949e6 4.79690e6i 0.368239 0.637808i −0.621052 0.783770i \(-0.713294\pi\)
0.989290 + 0.145962i \(0.0466276\pi\)
\(564\) 676439. 4.27943e6i 0.0895429 0.566484i
\(565\) 9294.13 + 16097.9i 0.00122486 + 0.00212152i
\(566\) 4.28466e6 0.562180
\(567\) −1.24020e6 + 1.19417e7i −0.162007 + 1.55994i
\(568\) 139799. 0.0181817
\(569\) −6.91495e6 1.19770e7i −0.895382 1.55085i −0.833331 0.552775i \(-0.813569\pi\)
−0.0620514 0.998073i \(-0.519764\pi\)
\(570\) −801501. + 5.07062e6i −0.103328 + 0.653693i
\(571\) −990947. + 1.71637e6i −0.127192 + 0.220303i −0.922588 0.385787i \(-0.873930\pi\)
0.795396 + 0.606091i \(0.207263\pi\)
\(572\) −1.81742e6 + 3.14786e6i −0.232255 + 0.402278i
\(573\) 542071. 208274.i 0.0689715 0.0265001i
\(574\) 7.12346e6 + 1.23382e7i 0.902425 + 1.56305i
\(575\) −666760. −0.0841007
\(576\) −946803. 306988.i −0.118906 0.0385536i
\(577\) 9.36673e6 1.17125 0.585623 0.810583i \(-0.300850\pi\)
0.585623 + 0.810583i \(0.300850\pi\)
\(578\) −334780. 579855.i −0.0416811 0.0721938i
\(579\) −7.01309e6 5.67550e6i −0.869387 0.703571i
\(580\) 386241. 668989.i 0.0476747 0.0825750i
\(581\) −5.26886e6 + 9.12593e6i −0.647554 + 1.12160i
\(582\) −3.89839e6 3.15486e6i −0.477066 0.386076i
\(583\) 1.26769e6 + 2.19570e6i 0.154469 + 0.267549i
\(584\) 194390. 0.0235853
\(585\) 1.01818e6 + 4.77567e6i 0.123009 + 0.576958i
\(586\) −2.87064e6 −0.345330
\(587\) 929269. + 1.60954e6i 0.111313 + 0.192800i 0.916300 0.400493i \(-0.131161\pi\)
−0.804987 + 0.593293i \(0.797828\pi\)
\(588\) 5.71172e6 2.19455e6i 0.681277 0.261759i
\(589\) 2.34801e6 4.06687e6i 0.278876 0.483028i
\(590\) 3.70795e6 6.42235e6i 0.438534 0.759563i
\(591\) −570451. + 3.60890e6i −0.0671815 + 0.425017i
\(592\) −1.04769e6 1.81466e6i −0.122865 0.212809i
\(593\) 1.50844e6 0.176154 0.0880770 0.996114i \(-0.471928\pi\)
0.0880770 + 0.996114i \(0.471928\pi\)
\(594\) 3.88692e6 + 5.97320e6i 0.452001 + 0.694610i
\(595\) −1.06568e7 −1.23406
\(596\) 2.23348e6 + 3.86850e6i 0.257553 + 0.446094i
\(597\) −488103. + 3.08793e6i −0.0560500 + 0.354595i
\(598\) −461989. + 800188.i −0.0528297 + 0.0915038i
\(599\) −6.50791e6 + 1.12720e7i −0.741096 + 1.28362i 0.210901 + 0.977507i \(0.432360\pi\)
−0.951997 + 0.306108i \(0.900973\pi\)
\(600\) −1.29840e6 + 498869.i −0.147242 + 0.0565729i
\(601\) 6.92629e6 + 1.19967e7i 0.782194 + 1.35480i 0.930661 + 0.365882i \(0.119233\pi\)
−0.148467 + 0.988917i \(0.547434\pi\)
\(602\) −1.85999e7 −2.09180
\(603\) 443435. 399767.i 0.0496634 0.0447727i
\(604\) −457243. −0.0509981
\(605\) −1.25152e6 2.16769e6i −0.139011 0.240773i
\(606\) −2.75797e6 2.23195e6i −0.305076 0.246890i
\(607\) 4.75435e6 8.23478e6i 0.523745 0.907153i −0.475873 0.879514i \(-0.657868\pi\)
0.999618 0.0276388i \(-0.00879883\pi\)
\(608\) −1.01322e6 + 1.75495e6i −0.111159 + 0.192533i
\(609\) −2.85919e6 2.31386e6i −0.312391 0.252810i
\(610\) −346830. 600726.i −0.0377391 0.0653660i
\(611\) −8.39032e6 −0.909234
\(612\) 3.63815e6 3.27987e6i 0.392646 0.353980i
\(613\) −1.65462e7 −1.77848 −0.889238 0.457445i \(-0.848765\pi\)
−0.889238 + 0.457445i \(0.848765\pi\)
\(614\) 4.51242e6 + 7.81574e6i 0.483046 + 0.836661i
\(615\) 1.06049e7 4.07458e6i 1.13062 0.434405i
\(616\) 3.06014e6 5.30032e6i 0.324930 0.562795i
\(617\) 2.75765e6 4.77638e6i 0.291626 0.505111i −0.682569 0.730822i \(-0.739137\pi\)
0.974194 + 0.225711i \(0.0724705\pi\)
\(618\) 1.91794e6 1.21337e7i 0.202006 1.27797i
\(619\) −1.24124e6 2.14989e6i −0.130205 0.225522i 0.793550 0.608505i \(-0.208230\pi\)
−0.923756 + 0.382982i \(0.874897\pi\)
\(620\) −1.57957e6 −0.165029
\(621\) 988056. + 1.51839e6i 0.102814 + 0.157999i
\(622\) 7.17752e6 0.743872
\(623\) −2.04895e6 3.54888e6i −0.211500 0.366329i
\(624\) −300943. + 1.90389e6i −0.0309402 + 0.195740i
\(625\) 1.73248e6 3.00074e6i 0.177406 0.307276i
\(626\) 1.12758e6 1.95303e6i 0.115004 0.199192i
\(627\) 1.35439e7 5.20383e6i 1.37587 0.528633i
\(628\) 994032. + 1.72171e6i 0.100578 + 0.174205i
\(629\) 1.03121e7 1.03925
\(630\) −1.71440e6 8.04119e6i −0.172092 0.807177i
\(631\) −9.16852e6 −0.916697 −0.458349 0.888772i \(-0.651559\pi\)
−0.458349 + 0.888772i \(0.651559\pi\)
\(632\) 1.61703e6 + 2.80078e6i 0.161037 + 0.278925i
\(633\) 6.53925e6 + 5.29204e6i 0.648662 + 0.524945i
\(634\) 6.36613e6 1.10265e7i 0.629003 1.08946i
\(635\) −4.03138e6 + 6.98256e6i −0.396753 + 0.687196i
\(636\) 1.04513e6 + 845794.i 0.102453 + 0.0829128i
\(637\) −5.92476e6 1.02620e7i −0.578525 1.00204i
\(638\) −2.18330e6 −0.212354
\(639\) −504923. 163715.i −0.0489185 0.0158612i
\(640\) 681622. 0.0657799
\(641\) 994072. + 1.72178e6i 0.0955593 + 0.165514i 0.909842 0.414955i \(-0.136203\pi\)
−0.814283 + 0.580469i \(0.802869\pi\)
\(642\) −1.36680e6 + 525152.i −0.130879 + 0.0502860i
\(643\) 2.62237e6 4.54208e6i 0.250130 0.433239i −0.713431 0.700725i \(-0.752860\pi\)
0.963562 + 0.267487i \(0.0861932\pi\)
\(644\) 777889. 1.34734e6i 0.0739099 0.128016i
\(645\) −2.31568e6 + 1.46499e7i −0.219169 + 1.38655i
\(646\) −4.98638e6 8.63667e6i −0.470115 0.814263i
\(647\) 9.94212e6 0.933723 0.466862 0.884330i \(-0.345385\pi\)
0.466862 + 0.884330i \(0.345385\pi\)
\(648\) 3.06013e6 + 2.21754e6i 0.286287 + 0.207460i
\(649\) −2.09598e7 −1.95333
\(650\) 1.34683e6 + 2.33278e6i 0.125034 + 0.216566i
\(651\) −1.17427e6 + 7.42889e6i −0.108596 + 0.687023i
\(652\) −1.31114e6 + 2.27096e6i −0.120790 + 0.209214i
\(653\) 1.21132e6 2.09806e6i 0.111167 0.192547i −0.805074 0.593174i \(-0.797875\pi\)
0.916241 + 0.400628i \(0.131208\pi\)
\(654\) −6.90023e6 + 2.65120e6i −0.630840 + 0.242380i
\(655\) −1.99851e6 3.46152e6i −0.182013 0.315256i
\(656\) 4.48454e6 0.406872
\(657\) −702091. 227643.i −0.0634570 0.0205751i
\(658\) 1.41275e7 1.27204
\(659\) −7.70304e6 1.33421e7i −0.690953 1.19677i −0.971526 0.236933i \(-0.923858\pi\)
0.280573 0.959833i \(-0.409476\pi\)
\(660\) −3.79373e6 3.07016e6i −0.339005 0.274347i
\(661\) −3.40975e6 + 5.90586e6i −0.303542 + 0.525751i −0.976936 0.213534i \(-0.931503\pi\)
0.673393 + 0.739284i \(0.264836\pi\)
\(662\) 15049.9 26067.2i 0.00133471 0.00231179i
\(663\) −7.37384e6 5.96745e6i −0.651493 0.527236i
\(664\) 1.65849e6 + 2.87259e6i 0.145980 + 0.252845i
\(665\) −1.67394e7 −1.46786
\(666\) 1.65894e6 + 7.78104e6i 0.144925 + 0.679754i
\(667\) −554995. −0.0483030
\(668\) 1.29864e6 + 2.24930e6i 0.112602 + 0.195032i
\(669\) 1.28804e7 4.94889e6i 1.11266 0.427506i
\(670\) −204430. + 354084.i −0.0175937 + 0.0304733i
\(671\) −980259. + 1.69786e6i −0.0840494 + 0.145578i
\(672\) 506723. 3.20573e6i 0.0432860 0.273845i
\(673\) 114441. + 198218.i 0.00973969 + 0.0168696i 0.870854 0.491541i \(-0.163566\pi\)
−0.861114 + 0.508411i \(0.830233\pi\)
\(674\) −5.87865e6 −0.498457
\(675\) 5.27373e6 281287.i 0.445511 0.0237624i
\(676\) −2.20789e6 −0.185828
\(677\) 1.00487e7 + 1.74048e7i 0.842629 + 1.45948i 0.887665 + 0.460491i \(0.152327\pi\)
−0.0450356 + 0.998985i \(0.514340\pi\)
\(678\) 4349.73 27518.2i 0.000363403 0.00229903i
\(679\) 8.17644e6 1.41620e7i 0.680597 1.17883i
\(680\) −1.67724e6 + 2.90507e6i −0.139099 + 0.240926i
\(681\) 4.62928e6 1.77865e6i 0.382512 0.146968i
\(682\) 2.23221e6 + 3.86629e6i 0.183769 + 0.318298i
\(683\) 1.34916e7 1.10665 0.553325 0.832965i \(-0.313359\pi\)
0.553325 + 0.832965i \(0.313359\pi\)
\(684\) 5.71467e6 5.15191e6i 0.467037 0.421045i
\(685\) 9.65924e6 0.786533
\(686\) 3.14156e6 + 5.44135e6i 0.254880 + 0.441465i
\(687\) −5.98447e6 4.84307e6i −0.483764 0.391497i
\(688\) −2.92737e6 + 5.07035e6i −0.235780 + 0.408382i
\(689\) 1.30185e6 2.25488e6i 0.104475 0.180957i
\(690\) −964366. 780435.i −0.0771115 0.0624042i
\(691\) −2.16664e6 3.75273e6i −0.172620 0.298987i 0.766715 0.641988i \(-0.221890\pi\)
−0.939335 + 0.343001i \(0.888557\pi\)
\(692\) −6.14972e6 −0.488191
\(693\) −1.72595e7 + 1.55599e7i −1.36520 + 1.23076i
\(694\) −1.04919e7 −0.826903
\(695\) 3.34005e6 + 5.78513e6i 0.262295 + 0.454309i
\(696\) −1.08076e6 + 415247.i −0.0845678 + 0.0324925i
\(697\) −1.10349e7 + 1.91131e7i −0.860376 + 1.49021i
\(698\) −2.32931e6 + 4.03448e6i −0.180962 + 0.313436i
\(699\) −2.82781e6 + 1.78899e7i −0.218906 + 1.38489i
\(700\) −2.26777e6 3.92789e6i −0.174926 0.302980i
\(701\) −4.00999e6 −0.308211 −0.154106 0.988054i \(-0.549250\pi\)
−0.154106 + 0.988054i \(0.549250\pi\)
\(702\) 3.31652e6 6.52398e6i 0.254003 0.499654i
\(703\) 1.61978e7 1.23614
\(704\) −963248. 1.66839e6i −0.0732498 0.126872i
\(705\) 1.75886e6 1.11273e7i 0.133278 0.843172i
\(706\) −6.29354e6 + 1.09007e7i −0.475208 + 0.823084i
\(707\) 5.78454e6 1.00191e7i 0.435231 0.753843i
\(708\) −1.03754e7 + 3.98641e6i −0.777893 + 0.298881i
\(709\) −2.57127e6 4.45358e6i −0.192102 0.332731i 0.753844 0.657053i \(-0.228197\pi\)
−0.945947 + 0.324322i \(0.894864\pi\)
\(710\) 363504. 0.0270622
\(711\) −2.56044e6 1.20094e7i −0.189951 0.890940i
\(712\) −1.28990e6 −0.0953581
\(713\) 567428. + 982813.i 0.0418010 + 0.0724014i
\(714\) 1.24159e7 + 1.00479e7i 0.911453 + 0.737614i
\(715\) −4.72562e6 + 8.18501e6i −0.345695 + 0.598762i
\(716\) 4.09593e6 7.09435e6i 0.298586 0.517166i
\(717\) 1.40385e7 + 1.13610e7i 1.01982 + 0.825310i
\(718\) 1.44169e6 + 2.49709e6i 0.104367 + 0.180769i
\(719\) −1.15318e6 −0.0831906 −0.0415953 0.999135i \(-0.513244\pi\)
−0.0415953 + 0.999135i \(0.513244\pi\)
\(720\) −2.46186e6 798225.i −0.176983 0.0573844i
\(721\) 4.00564e7 2.86968
\(722\) −2.88023e6 4.98871e6i −0.205629 0.356160i
\(723\) −1.19483e7 + 4.59077e6i −0.850083 + 0.326618i
\(724\) 2.28666e6 3.96061e6i 0.162127 0.280812i
\(725\) −808984. + 1.40120e6i −0.0571603 + 0.0990046i
\(726\) −585720. + 3.70550e6i −0.0412428 + 0.260919i
\(727\) 9.27449e6 + 1.60639e7i 0.650810 + 1.12724i 0.982927 + 0.183997i \(0.0589038\pi\)
−0.332117 + 0.943238i \(0.607763\pi\)
\(728\) −6.28522e6 −0.439533
\(729\) −8.45558e6 1.15929e7i −0.589284 0.807926i
\(730\) 505449. 0.0351051
\(731\) −1.44065e7 2.49529e7i −0.997163 1.72714i
\(732\) −162319. + 1.02690e6i −0.0111968 + 0.0708352i
\(733\) 2.05765e6 3.56395e6i 0.141453 0.245003i −0.786591 0.617474i \(-0.788156\pi\)
0.928044 + 0.372471i \(0.121489\pi\)
\(734\) −165033. + 285845.i −0.0113066 + 0.0195835i
\(735\) 1.48515e7 5.70623e6i 1.01403 0.389610i
\(736\) −244858. 424106.i −0.0166617 0.0288589i
\(737\) 1.15558e6 0.0783666
\(738\) −1.61971e7 5.25170e6i −1.09470 0.354943i
\(739\) −2.27852e7 −1.53477 −0.767384 0.641188i \(-0.778442\pi\)
−0.767384 + 0.641188i \(0.778442\pi\)
\(740\) −2.72419e6 4.71844e6i −0.182877 0.316752i
\(741\) −1.15826e7 9.37345e6i −0.774924 0.627125i
\(742\) −2.19204e6 + 3.79672e6i −0.146163 + 0.253162i
\(743\) 1.05194e7 1.82202e7i 0.699068 1.21082i −0.269721 0.962938i \(-0.586932\pi\)
0.968790 0.247884i \(-0.0797351\pi\)
\(744\) 1.84031e6 + 1.48931e6i 0.121887 + 0.0986400i
\(745\) 5.80745e6 + 1.00588e7i 0.383349 + 0.663980i
\(746\) 2.12121e7 1.39552
\(747\) −2.62609e6 1.23173e7i −0.172190 0.807635i
\(748\) 9.48092e6 0.619578
\(749\) −2.38724e6 4.13482e6i −0.155486 0.269310i
\(750\) −1.09433e7 + 4.20462e6i −0.710387 + 0.272944i
\(751\) −1.03484e7 + 1.79240e7i −0.669537 + 1.15967i 0.308497 + 0.951225i \(0.400174\pi\)
−0.978034 + 0.208446i \(0.933159\pi\)
\(752\) 2.22347e6 3.85116e6i 0.143379 0.248340i
\(753\) 2.07448e6 1.31240e7i 0.133328 0.843487i
\(754\) 1.12107e6 + 1.94175e6i 0.0718131 + 0.124384i
\(755\) −1.18891e6 −0.0759072
\(756\) −5.58429e6 + 1.09850e7i −0.355356 + 0.699027i
\(757\) 1.22154e7 0.774761 0.387380 0.921920i \(-0.373380\pi\)
0.387380 + 0.921920i \(0.373380\pi\)
\(758\) 99069.5 + 171593.i 0.00626278 + 0.0108475i
\(759\) −547444. + 3.46335e6i −0.0344933 + 0.218219i
\(760\) −2.63455e6 + 4.56318e6i −0.165452 + 0.286572i
\(761\) −642893. + 1.11352e6i −0.0402417 + 0.0697007i −0.885445 0.464745i \(-0.846146\pi\)
0.845203 + 0.534445i \(0.179479\pi\)
\(762\) 1.12804e7 4.33414e6i 0.703780 0.270405i
\(763\) −1.20518e7 2.08744e7i −0.749449 1.29808i
\(764\) 596037. 0.0369436
\(765\) 9.45984e6 8.52827e6i